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S. Aly and M. Farkas, “Bifurcation in a Predator-Prey Model in Patchy Environment with Diffusion,” Nonlinear Analysis: Theory, Methods & Applications, Vol. 5, No. 3, 2004, pp. 519-526. doi:10.1016/j.nonrwa.2003.11.004

has been cited by the following article:

• TITLE: Spatial Inhomogenity Due to Turing Instability in a Capital-Labour Model

  AUTHORS: Shaban Aly

  KEYWORDS: Cross-Diffusion; Diffusive Instability; Turing Bifurcation

  JOURNAL NAME: Applied Mathematics, Vol.3 No.2, February 23, 2012

  ABSTRACT: A cross-diffusion system is set up modelling the distribution of capital and labour over the land of two identical patches (cites, markets or countries) in which the per capita migration rate of each species (investment capital or labour force) is influenced not only by its own but also by the other one’s density, i.e. there is cross-diffusion present. Numerical studies show that at a critical value of the bifurcation parameter the system undergoes a Turing bifurcation and the cross-migration response is an important factor that should not be ignored when pattern emerges.